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3 years ago

18. Which function is the result of translating y = x^2 downward by 3 units and to the left by 4 units?

Mathematics

1 answer:

algol133 years ago

6 0

Answer:

Step-by-step explanation:

Given f(x) then f(x + k) represents a horizontal translation of f(x)

• If k > 0 then shift left by k units

• If k < 0 then shift right by k units

Here the shift is 4 units to the left, thus

y = (x + 4)²

Given f(x) then f(x) + k represents a vertical translation of f(x)

• If k > 0 then shift up by k units

• If k < 0 then shift down by k units

Here the shift is 3 units down, thus

y = (x + 4)² - 3 → C

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Giselle works as a carpenter and as a blacksmith.

seropon [69]

Step-by-step explanation:

$20/hr carpenter pay

$25/hr blacksmith pay

Let c = hours working carpentry

Let b = hours working as blacksmith

c + b = 30 {equation 1}

20c + 25b = 690 {equation 2}

In equation 1 solve for one variable in terms of the other.

c = 30-b

Substitute that into equation 2:

20(30-b) + 25b = 690

600 - 20b + 25b = 690

5b = 90

b = 90/5

b = 18 hours working as a blacksmith

c = 30-b = 30-18 = 12 hours as a carpenter

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1 year ago

Daredevil Danny was cliff jumping . He jumped off a cliff that was 14.2 meters above the surface . He jumped 2.3 meters below wa

Novay_Z [31]

Answer:

that he is trying to die

Step-by-step explanation:

i don't know just stating the obvious.

6 0

2 years ago

Read 2 more answers

If f(x)=x sqrt -25 and g(x)=x-5, what is the domain of (f/g)(x)?

givi [52]

Answer:

Step-by-step explanation:

f(x)=x²-25=(x-5)(x+5)

g(x)=x-5

(f/g)(x)=<em>(x-5)</em>(x+5)/<em>(x-5)</em>=x+5; for x≠5

D=R-{5}

4 0

3 years ago

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Which mapping diagram does not represent a function? es A) 2 26 347 4 8 B) 2 37 4 18 C) B 2 6 3-47 4 8 D) 2 3 4 6 7 8

Jobisdone [24]

Answer:

I think it is A

Step-by-step explanation:

4 0

2 years ago

List the sides of each triangle from shortest to greatest

Lelechka [254]

In every triangle, the largest side, is opposite the largest angle.

Also, the smallest side, is opposite the smallest angle.

a. $70^o\ \textgreater \ 60^o\ \textgreater \ 50^o$ so $|RQ|\ \textgreater \ |PR|\ \textgreater \ |PQ|$ ,

because RQ is opposite angle P, the largest,
PR is opposite angle Q , the middle
and PQ is opposite angle R, the smallest.

Greatest side: RQ

b. The sum of the measures of the interior angles of any triangle is 180°,

so

$m(A)+m(B)+m(C)=180^o\\\\50^o+45^o+x=180^o\\\\x=180^o-50^o-45^o=85^o$

thus, m(C) is the largest angle. This means the largest side is the side AB.

Answers:

a) RQ
b)AB

8 0

3 years ago